(d^2-3d^2+9d)y=0

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Solution for (d^2-3d^2+9d)y=0 equation: 


Simplifying
(d2 + -3d2 + 9d) * y = 0

Reorder the terms:
(9d + d2 + -3d2) * y = 0

Combine like terms: d2 + -3d2 = -2d2
(9d + -2d2) * y = 0

Reorder the terms for easier multiplication:
y(9d + -2d2) = 0
(9d * y + -2d2 * y) = 0
(9dy + -2d2y) = 0

Solving
9dy + -2d2y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(9 + -2d) = 0


Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve:

Simplifying
dy = 0

Solving
dy = 0

Move all terms containing d to the left, all other terms to the right.

Simplifying
dy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9 + -2d)' equal to zero and attempt to solve:

Simplifying
9 + -2d = 0

Solving
9 + -2d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -2d = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2d = 0 + -9
-2d = 0 + -9

Combine like terms: 0 + -9 = -9
-2d = -9

Divide each side by '-2'.
d = 4.5

Simplifying
d = 4.5
Solution
d = {4.5}

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